Question

Which of the following sentences are statements?
(i) $15 + 8 > 23$
(ii) $y + 9 = 7$
(iii) $sin^2x + cos^2x = 0$
(iv) Sky is red.

• A. Only (i)
• B. Only (ii) and (iii)
• C. Only (i) and (iv)
• D. Only (i), (iii) and (iv)

Answer 1

Answer: (D)

We know that, a statement is a sentence which is either true or false but not both simultaneously.
(i) It is a false sentence, hence, it is a statement.
$(\because 15 + 8 = 23)$
(ii) $y + 9 = 7$
It is not considered as a statement, since the value of $y$ is not given.
(iii) It is false sentence, hence, it is a statement.
$(\because sin^{2}x + cos^2x = 1)$
(iv) It is a false sentence, hence, it is a statement.